Assuming that a light \(\omega _0\)  gives a stiff EoS,
then how can the \(\omega _0\)  condensate evaporate to match onto a soft quarkyonic EoS?
Presumably the couplings of the \(\omega _\mu \)  with nucleons behave smoothly with density.
That leaves the couplings of the \(\omega _\mu \)  to the chiral field \(\vec{\phi }\) , but as demonstrated above, these are limited.
This question does assume that a hadronic phase matches onto quarkyonic matter.
It is possible to simply paste a stiff hadronic EoS onto a soft quark EoS through what is presumably
a strongly first order transition. This is not consistent, however, with the analyses for either \(N_{\rm color}\rightarrow \infty \) 
[1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}
or lattice results for \(N_{\rm color}= 2\) 
[14]}, [15]}, [16]}, [17]}, [18]}, [19]},
which indicate a quarkyonic regime.
Nor why the nuclear EoS appears to be soft near \(n_{\rm sat}\) , and only stiff when \(n_B \sim 1.5 - 1.8 n_{\rm sat}\)  [20]}.
